Budget Office The King County Budget Office web site is located at http://www.metrokc.gov/budget/. A redirector will take you there in five seconds. Thank you for your visit. Updated: June 13, 2000 King County | Executive | News | Services | Comments | Search Links to external sites do not constitute endorsements by King County. By visiting this and other King County web pages, you expressly agree to be bound by terms and conditions of the site. The details.